Comptes Rendus
Group Theory/Geometry
Surface group representations with maximal Toledo invariant
[Sur les représentations d'un groupe de surface compacte avec invariant de Toledo maximal]
Comptes Rendus. Mathématique, Volume 336 (2003) no. 5, pp. 387-390.

Nous étudions les représentations d'un groupe de surface compacte sur un espace symétrique hermitien et caractérisons celles avec invariant de Toledo maximal.

We study representations of compact surface groups on Hermitian symmetric spaces and characterize those with maximal Toledo invariant.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00065-7
Marc Burger 1 ; Alessandra Iozzi 2 ; Anna Wienhard 3

1 FIM, ETH Zentrum, CH-8092 Zürich, Switzerland
2 Department of Mathematics, ETH Zentrum, CH-8092 Zürich, Switzerland
3 Mathematisches Institut, Rheinische Friedrich-Wilhelms Universität Bonn, 53115 Bonn, Germany
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Marc Burger; Alessandra Iozzi; Anna Wienhard. Surface group representations with maximal Toledo invariant. Comptes Rendus. Mathématique, Volume 336 (2003) no. 5, pp. 387-390. doi : 10.1016/S1631-073X(03)00065-7. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00065-7/

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[5] M. Burger; N. Monod Continuous bounded cohomology and applications to rigidity theory, Geom. Funct. Anal., Volume 12 (2002), pp. 219-280

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[9] W.M. Goldman, Discontinuous groups and the Euler class, Thesis, University of California at Berkeley, 1980

[10] L. Hernàndez Lamoneda Maximal representations of surface groups in bounded symmetric domains, Trans. Amer. Math. Soc., Volume 324 (1991), pp. 405-420

[11] S. Ihara Holomorphic imbeddings of symmetric domains, J. Math. Soc. Japan, Volume 19 (1967) no. 3

[12] A. Iozzi Bounded cohomology, boundary maps, and representations into Homeo+(S1) and SU(1,n), Rigidity in Dynamics and Geometry, Cambridge, UK, 2000, Springer-Verlag, Heidelberg, 2000, pp. 237-260

[13] N. Monod Continuous bounded cohomology of locally compact groups, Lecture Notes in Math., 1758, Springer-Verlag, Heidelberg, 2001

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